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Finding the Fourth Proportional to 5,946.96, 8,213.70 and 3,954.07

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Solution

The fourth proportional to 5,946.96, 8,213.70 and 3,954.07 is: 5,461.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.96 : 8,213.70 = 3,954.07 : x
  2. Step 2: Convert to fraction form
    5,946.96/8,213.70 = 3,954.07/x
  3. Step 3: Cross multiply
    5,946.96x = 8,213.70 × 3,954.07
  4. Step 4: Simplify right side
    5,946.96x = 32,477,544.76
  5. Step 5: Solve for x
    x = 32,477,544.76/5,946.96
  6. Step 6: Final answer
    x = 5,461.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.